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Finding the Fourth Proportional to 152,384.20, 212,813 and 152,384.20

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Solution

The fourth proportional to 152,384.20, 212,813 and 152,384.20 is: 212,813

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,384.20 : 212,813 = 152,384.20 : x
  2. Step 2: Convert to fraction form
    152,384.20/212,813 = 152,384.20/x
  3. Step 3: Cross multiply
    152,384.20x = 212,813 × 152,384.20
  4. Step 4: Simplify right side
    152,384.20x = 32,429,338,754.60
  5. Step 5: Solve for x
    x = 32,429,338,754.60/152,384.20
  6. Step 6: Final answer
    x = 212,813

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.